Palatini formulation of non-local gravity

Abstract

We derive the dynamical equations for a non-local gravity model in the Palatini formalism and we discuss some of the properties of this model. We have shown that, in some specific cases, the vacuum solutions of general relativity are also vacuum solutions of the non-local model, so we conclude that, at least in this case, the singularities of Einstein's gravity are not removed.

10 pages

References in corpus (4)

• Nonlocal and quasi-local field theories
• Inflation in (Super-)renormalizable Gravity
• Exact solutions and spacetime singularities in nonlocal gravity
• One-loop effective potential in nonlocal scalar field models

Cited by in corpus (6)

• Non-unitarity of Minkowskian non-local quantum field theories
• Unattainability of the Trans-Planckian regime in Nonlocal Quantum Gravity
• Form factors, spectral and Källén-Lehmann representation in nonlocal quantum gravity
• Energy-Momentum Complex in Higher Order Curvature-Based Local Gravity
• On the occurrence of gauge-dependent secularities in nonlinear gravitational waves
• Hidden Non-Locality and Self-Superrenormalization of Quantum Gravity